Answer:
[tex]\displaystyle -1\frac{2}{3} < -\frac{1}{4}[/tex]
Or:
[tex]\displaystyle -\frac{1}{4} > -1\frac{2}{3}[/tex]
Step-by-step explanation:
Before comparing both fractions, let's express them as proper or improper fractions.
[tex]\displaystyle -1\frac{2}{3}=-\frac{5}{3}[/tex]
That is an improper fraction whose value is less than -1
The fraction -1/4 is a proper fraction with a value greater than -1, which makes it greater than the other fraction. Thus:
[tex]\displaystyle -1\frac{2}{3} < -\frac{1}{4}[/tex]
Or, equivalently:
[tex]\displaystyle -\frac{1}{4} > -1\frac{2}{3}[/tex]
